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42757271141 = 1331199569937
BaseRepresentation
bin100111110100100010…
…000010111001100101
311002100211100102102212
4213310202002321211
51200031330134031
631350432413205
73042364544114
oct476442027145
9132324312385
1042757271141
1117151401722
1283533a7205
13405539bb50
1420d886bc7b
1511a3ad112b
hex9f4882e65

42757271141 has 32 divisors (see below), whose sum is σ = 47905536000. Its totient is φ = 37895869440.

The previous prime is 42757271119. The next prime is 42757271191. The reversal of 42757271141 is 14117275724.

It is a de Polignac number, because none of the positive numbers 2k-42757271141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42757271191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45631625 + ... + 45632561.

It is an arithmetic number, because the mean of its divisors is an integer number (1497048000).

Almost surely, 242757271141 is an apocalyptic number.

It is an amenable number.

42757271141 is a deficient number, since it is larger than the sum of its proper divisors (5148264859).

42757271141 is a wasteful number, since it uses less digits than its factorization.

42757271141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749.

The product of its digits is 109760, while the sum is 41.

The spelling of 42757271141 in words is "forty-two billion, seven hundred fifty-seven million, two hundred seventy-one thousand, one hundred forty-one".

Divisors: 1 13 31 199 403 569 937 2587 6169 7397 12181 17639 29047 80197 113231 186463 229307 377611 533153 1472003 2424019 3510161 5780353 6930989 16527743 45632093 75144589 106097447 214860659 1379266811 3289020857 42757271141